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Finding the Fourth Proportional to 196.12, 270.22 and 159.16

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Solution

The fourth proportional to 196.12, 270.22 and 159.16 is: 219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.12 : 270.22 = 159.16 : x
  2. Step 2: Convert to fraction form
    196.12/270.22 = 159.16/x
  3. Step 3: Cross multiply
    196.12x = 270.22 × 159.16
  4. Step 4: Simplify right side
    196.12x = 43,008.22
  5. Step 5: Solve for x
    x = 43,008.22/196.12
  6. Step 6: Final answer
    x = 219.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.